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                [Sdoi2014]向量集                </h1>
                <p>时间限制：25s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：512MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">维护一个向量集合，在线支持以下操作：<br />
&quot;A x y (|x|，|y| &lt; =10^8)&quot;：加入向量(x，y);<br />
&quot; Q x y l r (|x|，|y| &lt; =10^8，1 &lt; =L &lt; =R &lt; =T，其中T为已经加入的向量个数)询问第L个到第R个加入的向量与向量(x，y)的点积的最大值。<br />
&nbsp;&nbsp;&nbsp; 集合初始时为空。<br />
</span></p></p><hr/><h3>输入格式</h3><p><p><font size="4">&nbsp;&nbsp;&nbsp; 输入的第一行包含整数N和字符s，分别表示操作数和数据类别；<br />
&nbsp;&nbsp;&nbsp; 接下来N行，每行一个操作，格式如上所述。<br />
&nbsp;&nbsp;&nbsp; 请注意s&ne;'E'时，输入中的所有整数都经过了加密。你可以使用以下程序<br />
得到原始输入：<br />
inline int decode (int x long long lastans) {<br />
&nbsp;&nbsp;&nbsp;&nbsp; return x ^ (lastans &amp; Ox7fffffff);<br />
}<br />
function decode<br />
begin<br />
&nbsp;&nbsp;&nbsp; 其中x为程序读入的数，lastans为之前最后一次询问的答案。在第一次询问之前，lastans=0。<br />
</font></p>
<p><font size="4">注：向量(x，y)和(z，W)的点积定义为xz+yw。<br />
</font></p></p><hr/><h3>输出格式</h3><p><p><font size="4">&nbsp; 对每个Q操作，输出一个整数表示答案。<br />
</font></p></p><hr/><h3>样例输入</h3><pre>    6 A
    A 3 2
    Q 1 5 1 1
    A 15 14
    A 12 9
    Q 12 8 12 15
    Q 21 18 19 18
</pre><hr/><h3>样例输出</h3><pre>    13
    17
    17

解释：解密之后的输入为
  6 E
    A 3 2
    Q 1 5 1 1
    A 2 3
    A 1 4
    Q 1 5 1 2
    Q 4 3 2 3</pre><hr/><h3>提示</h3><p><p><span style="font-size: medium">1 &lt; =N &lt; =4&times;10^5</span></p>
<p>新加数据一组..2015.315</p></p><hr/><h3>题目来源</h3><p>Round 1 Day 2</p>
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